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factor the expression completely.\ \\(-16x^{2}-6x^{4}\\)

Question

factor the expression completely.\
\\(-16x^{2}-6x^{4}\\)

Explanation:

Step1: Factor out GCF

Identify the greatest common factor (GCF) of the terms, which is $-2x^2$.

$$\begin{align*} -16x^2 - 6x^4 &= -2x^2(8 + 3x^2) \end{align*}$$

Step2: Check for further factoring

The quadratic $8+3x^2$ has no real factors, so we stop here.

Answer:

$-2x^2(3x^2 + 8)$